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Mixed matrix membranes are thought to have the ability to separate gases. The current research investigates the isolation of CO2 from methane (CH4) and nitrogen (N2) using a mixed matrix membrane. Bio-MOF-11 was combined with polyether sulfone to establish a membrane (PES). Experiments were carried out to determine the efficiency of the established membrane. Results showed that the Lewis basic sites present in Bio-MOF-11, which have a higher affinity for CO2, increase the permeability and selectivity of pristine polyether sulfone. At 30% filler loading, CO2 permeability improved from 2.20 to 3.90 Barrer, while CO2/CH4 and CO2/N2 selectivity improved from 9.57 to 11.14 with 30% filler loading. In addition, at 30% filler loading, CO2 solubility drops from 1.57 to 1.20.